Riemann–Stieltjes Integral Inequalities for Complex Functions Defined on Unit Circle

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A01=Silvestru Sever Dragomir
advanced numerical methods
approximation theory
Author_Silvestru Sever Dragomir
Auxiliary Function
Banach Space
Bounded Variation
Category=PBKJ
Category=PBKS
Category=PBT
Category=PBU
Complex Hilbert Spaces
Complex Unit Circle
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
functional analysis
Generalized Trapezoid
Hilbert Space
Integral Inequalities
linear operator theory
Lipschitz Type Condition
Lipschitzian Case
mathematical inequalities
Monotonic Nondecreasing Function
operator inequalities in complex spaces
postgraduate mathematics
Priori Error Bounds
Quadrature Rule
Riemann Integrable
Riemann Integrable Function
Riemann-Stieltjes integral inequalities
Self-adjoint Operators
Selfadjoint Operators
Simpler Inequality
spectral analysis
Spectral Family
Trapezoidal Rule
unitary operators

Product details

  • ISBN 9780367337100
  • Weight: 300g
  • Dimensions: 138 x 216mm
  • Publication Date: 12 Aug 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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The main aim of this book is to present several results related to functions of unitary operators on complex Hilbert spaces obtained, by the author in a sequence of recent research papers. The fundamental tools to obtain these results are provided by some new Riemann-Stieltjes integral inequalities of continuous integrands on the complex unit circle and integrators of bounded variation.

Features

  • All the results presented are completely proved and the original references where they have been firstly obtained are mentioned
  • Intended for use by both researchers in various fields of Linear Operator Theory and Mathematical Inequalities, as well as by postgraduate students and scientists applying inequalities in their specific areas
  • Provides new emphasis to mathematical inequalities, approximation theory and numerical analysis in a simple, friendly and well-digested manner.

About the Author

Silvestru Sever Dragomir is Professor and Chair of Mathematical Inequalities at the College of Engineering & Science, Victoria University, Melbourne, Australia. He is the author of many research papers and several books on Mathematical Inequalities and their Applications. He also chairs the international Research Group in Mathematical Inequalities and Applications (RGMIA). For details, see https://rgmia.org/index.php.

Silvestru Sever Dragomir is Professor and Chair of Mathematical Inequalities at the College of Engineering & Science, Victoria University, Melbourne, Australia. He is the author of many research papers and several books on Mathematical Inequalities and their Applications. He also chairs the international Research Group in Mathematical Inequalities and Applications (RGMIA). For details, see https://rgmia.org/index.php.

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